The correct option is A Johnny did more work and delivered the same amount of power.
The work is done against gravity so it is equal to the change in potential energy. W=Ep=mgh
For a fixed height, work is proportional to weight lifted. Since Johnny weighs twice as much as Jane he works twice as hard to get up the hill.
Power is work done per unit time. For Johnny this is W/Δt. Jane did half the work in half the time, (1/2W)/(1/2Δt)=W/Δt which is the same power delivered by Johnny.